A multiplier theorem for analytic functions of slow mean growth
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- by A. Matheson PDF
- Proc. Amer. Math. Soc. 77 (1979), 53-57 Request permission
Abstract:
Multipliers into ${l^q}$ spaces are characterized for certain spaces of functions analytic in the unit disk whose p-means $(0 < p \leqslant 1)$ do not grow too rapidly.References
- P. L. Duren and A. L. Shields, Properties of $H^{p}$ $(0<p<1)$ and its continuing Banach space, Trans. Amer. Math. Soc. 141 (1969), 255–262. MR 244751, DOI 10.1090/S0002-9947-1969-0244751-8 G. H. Hardy and J. E. Littlewood, Some properties of conjugate functions, J. Reine Angew. Math. 167 (1931), 405-423.
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 53-57
- MSC: Primary 30D55
- DOI: https://doi.org/10.1090/S0002-9939-1979-0539630-4
- MathSciNet review: 539630